Author:
Brück Benjamin,Fournier-Facio Francesco,Löh Clara
Abstract
AbstractCup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup products of median quasimorphisms, i.e., Brooks-type quasimorphisms of group actions on $${{\,\mathrm{{CAT}}\,}}(0)$$
CAT
(
0
)
cube complexes. In particular, we obtain such vanishing results for groups acting on trees and for right-angled Artin groups. Moreover, we outline potential applications of vanishing results for cup products in bounded cohomology.
Funder
Herchel Smith Postdoctoral Fellowship Fund
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
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